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To find the final velocity and displacement of the body, we can use the equations of motion for uniformly accelerated motion.

  1. Final velocity (v):

The initial velocity (u) is 0 m/s (starting from rest), the acceleration (a) is 3 m/s^2, and the time (t) is 4 seconds.

The equation for calculating the final velocity is:

v = u + at

v = 0 + (3 m/s^2) * (4 s) v = 12 m/s

Therefore, the final velocity of the body is 12 m/s.

  1. Displacement (s):

The displacement can be calculated using the equation:

s = ut + (1/2) * a * t^2

Since the initial velocity is 0, the first term becomes 0. We can simplify the equation to:

s = (1/2) * a * t^2

s = (1/2) * (3 m/s^2) * (4 s)^2 s = (1/2) * 3 m/s^2 * 16 s^2 s = 24 m

Therefore, the displacement of the body is 24 meters.

To summarize:

  • The final velocity of the body is 12 m/s.
  • The displacement of the body is 24 meters.
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